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Some results on a $χ$-divergence, an~extended~Fisher information and~generalized~Cramer-Rao inequalities
Some results $χ$-divergence an~extended~Fisher information generalized~Cramer-Rao inequalities
2013/6/17
We propose a modified $\chi^{\beta}$-divergence, give some of its properties, and show that this leads to the definition of a generalized Fisher information. We give generalized Cram\'er-Rao inequalit...
Geometric sensitivity of random matrix results: consequences for shrinkage estimators of covariance and related statistical methods
random matrix related statistical shrinkage estimators
2011/6/16
Shrinkage estimators of covariance are an important tool in modern applied and theoretical statistics.
They play a key role in regularized estimation problems, such as ridge regression (aka Tykhonov
...